New frames of Besov and Triebel-Lizorkin spaces

Let s≺0. The author obtains some new frames for Besov spaces Bpqs(ℝn) with 1≤p, q≤∞ and Triebel-Lizorkin spaces Fpqs(ℝn) with 1≺p≺∞ and 1≺q≤∞ by a dual method via the subatomic characterizations of these spaces when s≻0.

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Main Author: Dachun Yang
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/139260
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author Dachun Yang
author_facet Dachun Yang
author_sort Dachun Yang
collection DOAJ
description Let s≺0. The author obtains some new frames for Besov spaces Bpqs(ℝn) with 1≤p, q≤∞ and Triebel-Lizorkin spaces Fpqs(ℝn) with 1≺p≺∞ and 1≺q≤∞ by a dual method via the subatomic characterizations of these spaces when s≻0.
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spelling doaj-art-a79eb9dea83147e48984b65cea6d12262025-02-03T06:06:04ZengWileyJournal of Function Spaces and Applications0972-68022005-01-013111610.1155/2005/139260New frames of Besov and Triebel-Lizorkin spacesDachun Yang0Department of Mathematics, Beijing Normal University, Beijing 100875, ChinaLet s≺0. The author obtains some new frames for Besov spaces Bpqs(ℝn) with 1≤p, q≤∞ and Triebel-Lizorkin spaces Fpqs(ℝn) with 1≺p≺∞ and 1≺q≤∞ by a dual method via the subatomic characterizations of these spaces when s≻0.http://dx.doi.org/10.1155/2005/139260
spellingShingle Dachun Yang
New frames of Besov and Triebel-Lizorkin spaces
Journal of Function Spaces and Applications
title New frames of Besov and Triebel-Lizorkin spaces
title_full New frames of Besov and Triebel-Lizorkin spaces
title_fullStr New frames of Besov and Triebel-Lizorkin spaces
title_full_unstemmed New frames of Besov and Triebel-Lizorkin spaces
title_short New frames of Besov and Triebel-Lizorkin spaces
title_sort new frames of besov and triebel lizorkin spaces
url http://dx.doi.org/10.1155/2005/139260
work_keys_str_mv AT dachunyang newframesofbesovandtriebellizorkinspaces